Stable manifolds results for planar Hadamard fractional differential equations

In this paper, we investigate local stable manifold for planar Hadamard fractional differential equations. By adopting Lyapunov-Perron operator approach and establishing new estimation of Mittag-Leffler function associated with Hadamard fractional derivative, we derive another interesting local stable manifold theorem for our problem. Finally, an example is given to illustrate our theoretical results.